Operator Theory Courses and Certifications

Centre International de Rencontres Mathématiques

R-Sectorial Operators and Maximal Regularity

Explore $\mathscr{R}$-sectorial operators and maximal regularity in this mathematical conference talk, delving into advanced harmonic analysis techniques for elliptic operators.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Operator Norm Estimates for Sums of Tensor-Valued Random Haar Unitaries

Delve into operator norm estimates and probabilistic techniques for evaluating sums of tensor-valued random Haar unitaries, with applications to the Peterson Thom problem.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

On Conjugate Systems with Respect to Completely Positive Maps

Delve into advanced mathematical concepts exploring conjugate systems, von Neumann algebras, and operator-valued partial derivatives through an examination of Dabrowski's work and its extensions.

• YouTube
• 42 minutes
• On-Demand
• Free Video

INI Seminar Room 2

Restriction Theorems for Hankel Operators

Delve into advanced mathematical concepts of Hankel operators and restriction theorems through rigorous analysis and theoretical exploration of their properties and applications.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Von Neumann's Inequality on the Polydisc

Delve into von Neumann's inequality theory, exploring its extension to commuting contractions and examining function theoretic upper bounds in operator theory and complex analysis.

• YouTube
• 38 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Operator-Theoretic Approaches to Feature Extraction and Statistical Modeling of Climate Dynamics

Discover operator-theoretic methods for climate dynamics analysis, featuring kernel approaches to extract El Niño patterns and model atmospheric systems with spectral decomposition techniques.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Frames by Orbits of Bounded Operators

Explore the existence and characterization of frames generated by orbits of bounded operators on Hilbert spaces, with applications to Dynamical Sampling in signal processing.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A Large Sieve Principle for the Operator STFT with Applications to Cohen's Class

Explore the quantum analogue of the STFT large sieve principle for functions and operators, including applications to Cohen's class distributions and operator recovery techniques.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Understanding of Linear Operators Through Wigner Analysis

Dive into the understanding of linear operators through Wigner analysis with Edoardo Pucci's concise mathematical exploration from the Quantum Harmonic Analysis workshop.

• YouTube
• 17 minutes
• On-Demand
• Free Video

Discover AI

New AI Models for Solving Hamiltonian Mechanics - From Operator Theory to Neural Networks

Explore groundbreaking AI neural networks VaRONet and MambONet that revolutionize solving Hamiltonian mechanics through operator learning, bypassing traditional differential equations for efficient physical system modeling.

• YouTube
• 22 minutes
• On-Demand
• Free Video

BIMSA

Filling Radius, Positive Scalar Curvature and Quantitative Operator K-Theory

Explore techniques in quantitative operator theory to estimate filling radius, connecting positive scalar curvature and asymptotic dimension in large-scale geometry.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Harvard CMSA

Workshop on Quantum Field Theory and Topological Phases via Homotopy Theory and Operator Algebras

Explore advanced quantum field theory and topological phases through homotopy theory and operator algebras in this intensive workshop featuring leading experts from Harvard, Caltech, and more.

• YouTube
• 1 day 10 hours 3 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Maximal Monotone Operator and Splitting Method - Lecture 6

Delve into advanced mathematical concepts of maximal monotone operators and splitting methods in this sixth lecture of the summer school series at IMPA.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Maximal Monotone Operator and Splitting Method - Lecture 3

Delve into advanced mathematical concepts of maximal monotone operators and splitting methods in this third lecture of the summer school series at IMPA.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Maximal Monotone Operator and Splitting Method - Lecture 2

Delve into advanced mathematical concepts of maximal monotone operators and splitting methods in this comprehensive mathematical analysis lecture from IMPA's Summer School.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video